3 years ago

What is the slope of the line through (-2, 5) and (4, 9)?

1 answer:

Volgvan3 years ago

3 0

The slope of the line is

(9-5) / (4- -2) = 4/6 = 2/3 .

If the x-intercept is -2 and the y-intercept is 1, then the equation of the line is

y = 1/2 x + 1 .

None of the choices is correct.

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the length of a rectangle is five feet less than its width. If the area of the rectangle is 84 square feet, find its dimensions

KIM [24]

Let
x---------> the length of the rectangle
y--------> the width of the rectangle

we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=12
x=y-5-----> x=12-5-----> x=7

the answer is
the length of the rectangle is 7 ft
the width of the rectangle is 12 ft